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Finding the Fourth Proportional to 120,070.44, 180,040.86 and 85,078.44

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Solution

The fourth proportional to 120,070.44, 180,040.86 and 85,078.44 is: 127,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070.44 : 180,040.86 = 85,078.44 : x
  2. Step 2: Convert to fraction form
    120,070.44/180,040.86 = 85,078.44/x
  3. Step 3: Cross multiply
    120,070.44x = 180,040.86 × 85,078.44
  4. Step 4: Simplify right side
    120,070.44x = 15,317,595,505.06
  5. Step 5: Solve for x
    x = 15,317,595,505.06/120,070.44
  6. Step 6: Final answer
    x = 127,571.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.